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Distributive Property

Alternate name

Basic definition

An operation * is distributive if has the property in multiplication that x*(y + z) = x*y + x*z.

Detailed definition

A multiplication * is said to be right distributive if
(x + y) z = x z + y z
for every x, y, and z. Similarly, it is said to be left distributive if
z(x + y) = z x + z y
for every x, y, and z.
If a multiplication is both right- and left-distributive, it is simply said to be distributive. For example, the real numbers R are distributive.

Related terms

associative | commutative | transitive

Educational grade level

elementary school level (California grade 5 standard)

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